FRACTIONS


Dividing with a Whole Number

or a Mixed Number

When Fractions and Mixed Numbers are Divided, they

both must be changed to Improper Fractions. The

"Divided By" Fraction is inverted. Next, the Denominators

are Multiplied. Then the Numerators and the Denominators

are Multiplied.




To divide this whole number by this mixed number,

change both the whole number to an improper fraction and

the mixed number to an improper fraction.



2
1
1

4


2
=
2

1


1
1

4
=
5

4


2

1
4

5


2

1
x
x
4

5
=
=
8

5


8

5
=
1
3

5


2
1
1

4
=
1
3

5




If the resulting proper fraction can be reduced, then do so.


2
1
3

5


2
=
2

1


1
3

5
=
8

5


2

1
5

8


2

1
x
x
5

8
=
=
10

8


10

8
=
1
2

8


1
2

8
=
1
1

4


2
1
3

5
=
1
1

4




Sometimes the answer results in a whole number.


2
1

2
1
1

4


2
1

2
=
5

2


1
1

4
=
5

4


5

2
4

5


5

2
x
x
4

5
=
=
20

10


20

10
=
2


2
1

2
1
1

4
=
2




RULE

Dividing by a Whole Number or a Mixed Number
Change any Whole Number to an Improper Fraction.

Change any Mixed Number to an Improper Fraction.

Invert the "Divided By" Fraction.

Multiply the Numerators to find the New Numerator.

Multiply the Denominators to find the new New Denominator.

Change the resulting Improper Fraction to a Mixed Number.

If the Proper Fraction can be Reduced, then do so.